The use of micro-controllers in actuators provides extended flexibility for on-line data acquisition and sophisticated control implementation. However, attempts to utilize the excellent features of induction motor that is deemed by its strength, robustness, high torque, and relatively low cost in actuators face a fundamental control design challenge. The purpose of this paper is to introduce the synergic control theory, and apply it to design a speed controller for an induction motor and optimize the parameters of the controller to improve its responses convergence with higher performances and minimum chattering compared to sliding mode control. This paper presents technological invariant manifold based on vector control design with rotor field oriented control (RFOC) for induction motor; the design uses Synergetic Control theory to create an analytical control law which ensures asymptotic stability of the closed-loop operation, eliminate the influences of both external disturbances and parameters variations. To validate this approach, simulation study is carried out, and shows some very interesting features.